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Finding the Third Proportional to 8,074,813.22 and 17,719,036.03

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Solution

The third proportional to 8,074,813.22 and 17,719,036.03 is: 38,881,919.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,074,813.22 : 17,719,036.03 = 17,719,036.03 : x
  2. Step 2: Convert to fraction form
    8,074,813.22/17,719,036.03 = 17,719,036.03/x
  3. Step 3: Cross multiply
    8,074,813.22x = 17,719,036.03 × 17,719,036.03
  4. Step 4: Simplify right side
    8,074,813.22x = 313,964,237,876,735.75
  5. Step 5: Solve for x
    x = 313,964,237,876,735.75/8,074,813.22
  6. Step 6: Final answer
    x = 38,881,919.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.